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# The age of the Earth is approximately 1.3*10^17 seconds, and one year

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The age of the Earth is approximately 1.3*10^17 seconds, and one year [#permalink]

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28 Oct 2014, 16:37
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76% (00:48) correct 24% (00:58) wrong based on 394 sessions

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The age of the Earth is approximately $$1.3*10^{17}$$ seconds, and one year is approximately $$3.2 * 10^7$$ seconds. Which of the following is closest to the age of the Earth in years?

A. $$2.5 *10^9$$

B. $$4.1 * 10^9$$

C. $$1.9* 10^{10}$$

D. $$2.5* 10^{11}$$

E. $$4.1 * 10^{11}$$
[Reveal] Spoiler: OA

Last edited by Bunuel on 30 Oct 2017, 03:43, edited 2 times in total.
Formatted options.

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Re: The age of the Earth is approximately 1.3*10^17 seconds, and one year [#permalink]

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28 Oct 2014, 20:09
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1 Year $$= 3.2 * 10^7$$ seconds, so $$1.3*10^{17}$$ seconds would be =

$$\frac{1.3 * 10^{17}}{3.2 * 10^7} = \frac{130*10^{15}}{32*10^6} = 4.1*10^9$$ Years

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Re: The age of the Earth is approximately 1.3*10^17 seconds, and one year [#permalink]

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29 Oct 2014, 03:04
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angelfire213 wrote:
The age of the Earth is approximately 1.3*10^17 seconds, and one year is approximately 3.2 * 10^7 seconds. Which of the following is closest to the age of the Earth in years?

A. 2.5 *10^9
B. 4.1 * 10^9
C. 1.9* 10^10
D. 2.5* 10^11
E. 4.1 * 10^11

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Re: The age of the Earth is approximately 1.3*10^17 seconds, and one year [#permalink]

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24 Oct 2015, 12:07
I wanted to ask for some help, since I cannot find my mistake.
What I tried to do was:

$$\frac{1.3*10^{17}}{3.2*10^7} = 1.3*3.2*10^7 = 4.16*10^7$$

What am I doing wrong?

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Re: The age of the Earth is approximately 1.3*10^17 seconds, and one year [#permalink]

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25 Oct 2015, 04:53
petocities wrote:
I wanted to ask for some help, since I cannot find my mistake.
What I tried to do was:

1.3*10^17/3.2*10^7 = 1.3*3.2*10^7 = 4.16*10^7

What am I doing wrong?

1.3*10^17/3.2*10^7 = 1.3/3.2*10^10 = ~0.4*10^10 = 4*10*9.
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Re: The age of the Earth is approximately 1.3*10^17 seconds, and one year [#permalink]

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25 Oct 2015, 09:40
Bunuel wrote:
petocities wrote:
I wanted to ask for some help, since I cannot find my mistake.
What I tried to do was:

1.3*10^17/3.2*10^7 = 1.3*3.2*10^7 = 4.16*10^7

What am I doing wrong?

1.3*10^17/3.2*10^7 = 1.3/3.2*10^10 = ~0.4*10^10 = 4*10*9.

Ah of course, silly mistake. Thanks a lot Bunuel
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Re: The age of the Earth is approximately 1.3*10^17 seconds, and one year [#permalink]

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20 Dec 2017, 03:12
angelfire213 wrote:
The age of the Earth is approximately $$1.3*10^{17}$$ seconds, and one year is approximately $$3.2 * 10^7$$ seconds. Which of the following is closest to the age of the Earth in years?

A. $$2.5 *10^9$$

B. $$4.1 * 10^9$$

C. $$1.9* 10^{10}$$

D. $$2.5* 10^{11}$$

E. $$4.1 * 10^{11}$$

Or simply approximate:

1.3/3.2 is a bit less than 1/2 (i.e. less than 0.5).
$$10^{17}/10^7$$ will give $$10^{10}$$.

Of the given options, $$4.1 * 10^9$$ works.
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Re: The age of the Earth is approximately 1.3*10^17 seconds, and one year   [#permalink] 20 Dec 2017, 03:12
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